Chosen Fixed Point
Here is the data for the chosen fixed point.
$F_{UV}$ represents the flavor symmetries in the UV Lagrangian, and $F_{IR}$ represents the flavor symmetries in the IR. $F_{UV}$ and $F_{IR}$ can differ due to accidental symmetry enhancement.
The number of marginal operators, $n_{marginal}$, minus the dimension of flavor symmetries in IR, $|F_{IR}|$, corresponds to the coefficient of $t^6$ in the superconformal index.
# | Theory | Superpotential | Central charge $a$ | Central charge $c$ | Ratio $a/c$ | Matter field: $R$-charge | U(1) part of $F_{UV}$ | Rank of $F_{UV}$ | Rational |
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6074 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}M_{8}$ + ${ }M_{2}M_{7}$ + ${ }M_{1}X_{1}$ + ${ }M_{9}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6781 | 0.8568 | 0.7914 | [X:[1.348], M:[0.652, 1.1258, 0.8742, 0.9036, 1.0964, 0.6814, 0.8742, 1.1258, 0.6814], q:[0.7851, 0.5629], qb:[0.3407, 0.5335], phi:[0.4444]] | [X:[[2]], M:[[-2], [2], [-2], [2], [-2], [2], [-2], [2], [2]], q:[[1], [1]], qb:[[1], [-3]], phi:[[0]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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${}M_{6}$, ${ }M_{9}$, ${ }M_{7}$, ${ }\phi_{1}^{2}$, ${ }M_{4}$, ${ }M_{5}$, ${ }M_{2}$, ${ }M_{8}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }X_{1}$, ${ }M_{6}^{2}$, ${ }M_{6}M_{9}$, ${ }M_{9}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{6}M_{7}$, ${ }M_{7}M_{9}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{9}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}M_{6}$, ${ }M_{4}M_{9}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{5}M_{6}$, ${ }M_{4}M_{7}$, ${ }M_{5}M_{9}$, ${ }\phi_{1}^{4}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{4}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{6}M_{8}$, ${ }M_{2}M_{9}$, ${ }M_{8}M_{9}$, ${ }M_{5}\phi_{1}^{2}$ | ${}M_{7}M_{8}$ | -2 | 2*t^2.044 + t^2.623 + t^2.667 + t^2.711 + t^3.289 + 2*t^3.377 + 2*t^4.044 + 3*t^4.088 + t^4.534 + t^4.623 + t^4.667 + 4*t^4.711 + 2*t^4.755 + 2*t^5.289 + 2*t^5.333 + 2*t^5.377 + 4*t^5.421 + t^5.956 - 2*t^6. + 3*t^6.044 + 5*t^6.088 + 4*t^6.132 + t^6.579 + 2*t^6.711 + 10*t^6.755 + 3*t^6.799 + t^7.157 + t^7.201 + 2*t^7.333 + 3*t^7.377 + 8*t^7.421 + 6*t^7.466 + t^7.824 - t^7.868 + t^7.912 + 2*t^8. - 7*t^8.044 + 11*t^8.088 + 8*t^8.132 + 5*t^8.176 - t^8.534 + t^8.579 - 2*t^8.623 - t^8.667 - 6*t^8.711 + 9*t^8.755 + 16*t^8.799 + 4*t^8.843 - t^4.333/y - (2*t^6.377)/y - t^7./y + t^7.088/y + (3*t^7.667)/y + (2*t^7.711)/y + (2*t^7.755)/y + (3*t^8.289)/y + (3*t^8.333)/y + t^8.377/y + t^8.421/y + t^8.912/y + t^8.956/y - t^4.333*y - 2*t^6.377*y - t^7.*y + t^7.088*y + 3*t^7.667*y + 2*t^7.711*y + 2*t^7.755*y + 3*t^8.289*y + 3*t^8.333*y + t^8.377*y + t^8.421*y + t^8.912*y + t^8.956*y | 2*g1^2*t^2.044 + t^2.623/g1^2 + t^2.667 + g1^2*t^2.711 + t^3.289/g1^2 + 2*g1^2*t^3.377 + 2*g1^2*t^4.044 + 3*g1^4*t^4.088 + t^4.534/g1^6 + t^4.623/g1^2 + t^4.667 + 4*g1^2*t^4.711 + 2*g1^4*t^4.755 + (2*t^5.289)/g1^2 + 2*t^5.333 + 2*g1^2*t^5.377 + 4*g1^4*t^5.421 + t^5.956/g1^2 - 2*t^6. + 3*g1^2*t^6.044 + 5*g1^4*t^6.088 + 4*g1^6*t^6.132 + t^6.579/g1^4 + 2*g1^2*t^6.711 + 10*g1^4*t^6.755 + 3*g1^6*t^6.799 + t^7.157/g1^8 + t^7.201/g1^6 + 2*t^7.333 + 3*g1^2*t^7.377 + 8*g1^4*t^7.421 + 6*g1^6*t^7.466 + t^7.824/g1^8 - t^7.868/g1^6 + t^7.912/g1^4 + 2*t^8. - 7*g1^2*t^8.044 + 11*g1^4*t^8.088 + 8*g1^6*t^8.132 + 5*g1^8*t^8.176 - t^8.534/g1^6 + t^8.579/g1^4 - (2*t^8.623)/g1^2 - t^8.667 - 6*g1^2*t^8.711 + 9*g1^4*t^8.755 + 16*g1^6*t^8.799 + 4*g1^8*t^8.843 - t^4.333/y - (2*g1^2*t^6.377)/y - t^7./y + (g1^4*t^7.088)/y + (3*t^7.667)/y + (2*g1^2*t^7.711)/y + (2*g1^4*t^7.755)/y + (3*t^8.289)/(g1^2*y) + (3*t^8.333)/y + (g1^2*t^8.377)/y + (g1^4*t^8.421)/y + t^8.912/(g1^4*y) + t^8.956/(g1^2*y) - t^4.333*y - 2*g1^2*t^6.377*y - t^7.*y + g1^4*t^7.088*y + 3*t^7.667*y + 2*g1^2*t^7.711*y + 2*g1^4*t^7.755*y + (3*t^8.289*y)/g1^2 + 3*t^8.333*y + g1^2*t^8.377*y + g1^4*t^8.421*y + (t^8.912*y)/g1^4 + (t^8.956*y)/g1^2 |
Deformation
Here is the data for the deformed fixed points from the chosen fixed point.
# | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
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Equivalent Fixed Points from Other Seed Theories
Here is a list of equivalent fixed points from other gauge theories.
# | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
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Equivalent Fixed Points from the Same Seed Theory
Below is a list of equivalent fixed points from the same seed theories.
id | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | More Info. | Rational |
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Previous Theory
The previous fixed point before deforming to get the chosen fixed point.
# | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
---|---|---|---|---|---|---|---|---|---|
4568 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}M_{8}$ + ${ }M_{2}M_{7}$ + ${ }M_{1}X_{1}$ | 0.6573 | 0.816 | 0.8055 | [X:[1.3496], M:[0.6504, 1.1274, 0.8726, 0.9051, 1.0949, 0.6829, 0.8726, 1.1274], q:[0.7859, 0.5637], qb:[0.3415, 0.5312], phi:[0.4444]] | t^2.049 + t^2.618 + t^2.667 + t^2.715 + t^3.285 + 2*t^3.382 + t^3.951 + 2*t^4.049 + t^4.097 + t^4.52 + t^4.618 + 3*t^4.715 + t^4.764 + 2*t^5.285 + t^5.333 + 2*t^5.382 + 2*t^5.431 + t^5.951 - t^6. - t^4.333/y - t^4.333*y | detail |